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Inequalities for odd ranks of odd Durfee symbols

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Publication:2054711
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DOI10.1007/s11139-020-00329-zzbMath1475.11187OpenAlexW3126271684MaRDI QIDQ2054711

Edward Y. S. Liu

Publication date: 3 December 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-020-00329-z


zbMATH Keywords

inequalitiesasymptotic formulaodd ranksodd Durfee symbols


Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Combinatorial inequalities (05A20) Elementary theory of partitions (11P81)





Cites Work

  • Unnamed Item
  • Asymptotics for \(q\)-expansions involving partial theta functions
  • Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
  • On spt-crank-type functions
  • Inequalities for ranks of partitions and the first moment of ranks and cranks of partitions
  • The combinatorics of $k$-marked Durfee symbols
  • Asymptotic Partition Formulae: (II) Weighted Partitions
  • The Final Problem : An Account of the Mock Theta Functions




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